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An infinite plane has a charge density of σ = 10 nC/m^2. A charge q =...

An infinite plane has a charge density of σ = 10 nC/m^2. A charge q = 50 10^-19C; of mass m = 5E-28 kg, is released from rest, at a distance d= 8 cm away from the plane. We need to find the speed of the charge after it has moved by a distance r = 2 cm. Ignore the effects of gravity.

a) Find the electrostatic field due to the plane of charge.

b) Using the relationship between the potential difference and the field, find the potential difference as the charge moves a distance of r.

c) Is that potential difference positive or negative?

d) Using the relationship between potential and potential energy, find the change in potential energy as the charge moves the distance r.

e) Is mechanical energy conserved?

f) Using conservation of mechanical energy, find the speed of the charge after it has moved a distance r.

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